Trapezoid Properties and Calculations

The video tutorial explains how to find the area of a trapezoid by using its formula, which involves adding the lengths of the two parallel sides (bases), multiplying by the height, and dividing by two. The tutorial also covers how to determine the height using trigonometry, particularly when given an angle and a side length. The process involves identifying the opposite and adjacent sides relative to the angle and using the tangent function to solve for the height. Finally, the calculated height is used in the area formula to find the trapezoid's area.

What is a defining characteristic of a trapezoid?

• All angles are right angles

• Two sides are parallel

• All sides are equal

• It has no parallel sides

What is the formula for the area of a trapezoid?

• Base times height

• Half the sum of the bases times the height

• Length times width

• Base times height divided by two

In the given trapezoid, what are the lengths of the bases?

• 9 and 10

• 7 and 8

• 11 and 12

• 5 and 6

What is the first step in solving the problem?

• Calculate the area

• Identify the bases

• Find the height

• Determine the angle

What trigonometric function is used to find the height of the trapezoid?

• Secant

• Sine

• Cosine

• Tangent

What angle is subtracted from 103 degrees to find the smaller angle in the triangle?

• 80 degrees

• 85 degrees

• 95 degrees

• 90 degrees

What is the value of the smaller angle found in the triangle?

• 13 degrees

• 15 degrees

• 12 degrees

• 10 degrees

What is the ratio used in the tangent function to find the height?

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Opposite over adjacent

• Adjacent over opposite

What is the tangent of 13 degrees approximately?

• 0.1308

• 0.2308

• 0.3308

• 0.4308

What is the first step in using trigonometry to find the height?

• Label the hypotenuse

• Label the opposite and adjacent sides

• Find the base

• Calculate the angle